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An object is propelled upward from the top of a 500 foot building. The path that the object takes as it falls to the ground can be modeled by h= -16t t+500 where t is the time (in seconds) and h is the corresponding height of the object. The velocity of the object is v=-32t+100 where t is seconds and v is velocity of the object. How high does the object go? How high does the object go? ft ft When is the object 550 ft high? When is the object 550 ft high?.54 s & s.54 s & s With what velocity does the object hit the ground? With what velocity does the object hit the ground? ft/s ft/s

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An astronaut standing on the surface of the moon throws a rock into the air with an initial velocity of 27 feet per second. The astronaut’s hand is 6 feet above the surface of the moon. The height of the rock is given by h=- 2.7t 2 +27t+6. How many seconds is the rock in the air? How many seconds is the rock in the air? s s How high did the rock go? How high did the rock go? 73.5 ft 73.5 ft When was the rock 12 feet high? When was the rock 12 feet high?.23 s & 9.77 s.23 s & 9.77 s Suppose the astronaut had been standing on the earth’s surface. Write a vertical motion model for the height of the rock after the rock is thrown. Suppose the astronaut had been standing on the earth’s surface. Write a vertical motion model for the height of the rock after the rock is thrown. h=-16t 2 +27t+6 h=-16t 2 +27t+6 How many seconds is the rock in the air when thrown from the earth’s surface? How many seconds is the rock in the air when thrown from the earth’s surface? 1.89 s 1.89 s